Optimal control systems / Desineni Subbaram Naidu.
"Written as a second level graduate text with contents not found in any other single book, Optimal Control Systems provides an accessible yet comprehensive treatment of the subject. In a simplified, accessible presentation, the author focuses on the control of deterministic, dynamic physical sy...
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| Format: | Book |
| Language: | English |
| Published: |
Boca Raton, Fla. :
CRC Press,
[2003]
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| Series: | Electrical engineering textbook series.
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| Subjects: |
Table of Contents:
- Classical and Modern Control
- Optimization
- Optimal Control
- Plant
- Performance Index
- Constraints
- Formal Statement of Optimal Control System
- Historical Tour
- Calculus of Variations
- Optimal Control Theory
- Calculus of Variations and Optimal Control
- Function and Functional
- Increment
- Differential and Variation
- Optimum of a Function and a Functional
- The Basic Variational Problem
- Fixed-End Time and Fixed-End State System
- Discussion on Euler-Lagrange Equation
- Different Cases for Euler-Lagrange Equation
- The Second Variation
- Extrema of Functions with Conditions
- Direct Method
- Lagrange Multiplier Method
- Extrema of Functionals with Conditions
- Variational Approach to Optimal Control Systems
- Terminal Cost Problem
- Different Types of Systems
- Sufficient Condition
- Summary of Pontryagin Procedure
- Summary of Variational Approach
- Stage I: Optimization of a Functional
- Stage II: Optimization of a Functional with Condition
- Stage III: Optimal Control System with Lagrangian Formalism
- Stage IV: Optimal Control System with Hamiltonian Formalism: Pontryagin Principle
- Salient Features
- Linear Quadratic Optimal Control Systems I
- Problem Formulation
- Finite-Time Linear Quadratic Regulator
- Symmetric Property of the Riccati Coefficient Matrix
- Optimal Control
- Optimal Performance Index
- Finite-Time Linear Quadratic Regulator: Time-Varying Case: Summary
- Salient Features
- LQR System for General Performance Index.